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vitfil [10]
3 years ago
15

Simplify the inequality: -12.4x+8x > -0.4x-5.2-2.7

Mathematics
1 answer:
ad-work [718]3 years ago
8 0

Answer:

<h3><u>x < 1.975</u></h3>

Explanation:

-12.4x + 8x > -0.4x - 5.2 - 2.7

<em>Add similar elements: -12.4x + 8x = -4.4x</em>

-4.4x > -0.4x - 5.2 - 2.7

<em>Subtract -5.2 - 2.7: -7.9</em>

-4.4x > -0.4x - 7.9

<em>Multiply both sides by 10</em>

-4.4x · 10 > -0.4x - 7.9 · 10

<em>Refine</em>

-44x > -4x - 79

<em>Add 4x to both sides</em>

-44x + 4x > -4x - 79 + 4x

<em>Simplify</em>

-40x > -79

<em>Multiply both sides by -1 (Reverse the inequality)</em>

-40x (-1) > -79 (-1)

<em>Simplify</em>

40x < 79

Divide both sides by 40

40x / 40 < 79 / 40

<em>Simplify</em>

x < ⁷⁹⁄₄₀

<em>Turn the fraction into a decimal</em>

<h3><u>x < 1.975</u></h3>
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